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Finding the Fourth Proportional to 559,464.50, 772,051.20 and 304,817.48

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Solution

The fourth proportional to 559,464.50, 772,051.20 and 304,817.48 is: 420,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,464.50 : 772,051.20 = 304,817.48 : x
  2. Step 2: Convert to fraction form
    559,464.50/772,051.20 = 304,817.48/x
  3. Step 3: Cross multiply
    559,464.50x = 772,051.20 × 304,817.48
  4. Step 4: Simplify right side
    559,464.50x = 235,334,701,214.98
  5. Step 5: Solve for x
    x = 235,334,701,214.98/559,464.50
  6. Step 6: Final answer
    x = 420,642.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.